Yuri Alexandrovich Volkov (2.9.1930, Kazan —23.5.1981, Leningrad) - Soviet mathematician, specialist in the field of geometry, doctor of physical and mathematical sciences, professor.
| Yuri Alexandrovich Volkov | |
|---|---|
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| Scientific field | Lobachevsky geometry |
| Academic degree | Doctor of Physical and Mathematical Sciences |
Born in the family of an agronomist, deputy minister of agriculture Alexander Ivanovich Mitrofanov and a doctor Nina Antonovna Volkova.
He graduated from high school (with a silver medal) and the Faculty of Mathematics and Mechanics of Leningrad State University (1952).
All his life he worked at the Department of Geometry at Leningrad State University (Faculty of Mathematics and Mechanics), head. Department of Geometry from 1964 to 1981. Candidate dissertation (1955), “The existence of a polyhedron with this scan”, was carried out under the direction of Alexander Danilovich Aleksandrov. Doctoral dissertation (1968) - "Assessment of the deformation of a convex surface depending on changes in its internal metric." For a series of works on the theory of geometry as a whole, the University Prize of Leningrad State University was awarded in 1970. The main works are devoted to stability issues in the main theorems of surface theory as a whole. in 1968, he solved the difficult Weyl-Kon Fossen problem of estimating the deformation of a closed convex surface when its internal metric is deformed (this estimate, in particular, implies A.V. Pogorelov's theorem on the unique determination of a convex surface by its metric). Together with Vladimir Abramovich Rokhlin, he developed and introduced a new required course in geometry at the university. For the first time, students studied topology in the third semester, and Riemannian geometry in the fourth semester. At the end of his life, he taught a special course on the general theory of relativity.
Publications in the Math-Net.Ru database:
- A generalization of the theorem of Darboux-Sauer and Pogorelov. Yu. A. Volkov. West scientific sem. LOMI, 45 (1974), 63-67
- Bendings of infinite convex surfaces in Lobachevsky space. S. M. Vladimirova, Yu. A. Volkov. West scientific sem. LOMI, 45 (1974), 56-62
- Isometric immersions of the Euclidean plane in Lobachevsky space. Yu. A. Volkov, S. M. Vladimirova. Mat. notes, 10: 3 (1971), 327-332
- On the uniqueness of the solution of the Christoffel problem for open surfaces. Yu.A. Volkov, V.I. Oliker. Mat. Notes, 8: 2 (1970), 251–257
- Three-dimensional sweep curvature estimation. Yu.A. Volkov, B.V. Dexter. Mat. Sat, 83 (125): 4 (12) (1970), 616-638
- On deformations of a convex polyhedral angle. Yu. A. Volkov. UMN, 11: 5 (71) (1956), 209-210